GENERALIZED ENTROPY-BASED RESIDUAL LIFETIME DISTRIBUTIONS

被引：14
|
作者：
Kumar, Vikas [1 ]
Taneja, H. C. [1 ]
机构：
[1] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2011年 / 4卷 / 02期
关键词：
Non-additive entropy; residual entropy; mean residual life; hazard function;
D O I：
10.1142/S1793524511001416
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The present communication considers Havrda and Charvat entropy measure to propose a generalized dynamic information measure. It is shown that the proposed measure determines the survival function uniquely. The residual lifetime distributions have been characterized. A bound for the dynamic entropy measure in terms of mean residual life function has been derived, and its monotonicity property is studied.
引用
收藏
页码：171 / 184
页数：14
相关论文
共 50 条
  • [1] Entropy-based measure of uncertainty in past lifetime distributions
    Di Crescenzo, A
    Longobardi, M
    [J]. JOURNAL OF APPLIED PROBABILITY, 2002, 39 (02) : 434 - 440
  • [2] Entropy-based derivation of generalized distributions for hydrometeorological frequency analysis
    Chen, Lu
    Singh, Vijay P.
    [J]. JOURNAL OF HYDROLOGY, 2018, 557 : 699 - 712
  • [3] Entropy-based derivation of generalized distributions for hydrometeorological frequency analysis
    Chen, Lu
    Singh, Vijay P.
    [J]. JOURNAL OF HYDROLOGY, 2018, 563 : 1182 - 1182
  • [4] On the generalized cumulative residual entropy weighted distributions
    Psarrakos, Georgios
    Economou, Polychronis
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (22) : 10914 - 10925
  • [5] Flood frequency analysis using generalized distributions and entropy-based model selection method
    Zhang, Hansong
    Chen, Lu
    Singh, Vijay P.
    [J]. JOURNAL OF HYDROLOGY, 2021, 595
  • [6] Entropy-based test for generalised Gaussian distributions
    Cadirci, Mehmet Siddik
    Evans, Dafydd
    Leonenko, Nikolai
    Makogin, Vitalii
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2022, 173
  • [7] Generalized entropy-based criterion for consistent testing
    Tsallis, C
    [J]. PHYSICAL REVIEW E, 1998, 58 (02): : 1442 - 1445
  • [8] Generalized Cumulative Residual Entropy for Distributions with Unrestricted Supports
    Drissi, Noomane
    Chonavel, Thierry
    Boucher, Jean Marc
    [J]. JOURNAL OF ELECTRICAL AND COMPUTER ENGINEERING, 2008, 2008
  • [9] Generalized entropy-based criterion for consistent testing
    Tsallis, Constantino
    [J]. Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 58 (2-A):
  • [10] A New Two Parametric Weighted Generalized Entropy for Lifetime Distributions
    Bhad, Bilal Ahmad
    Baig, Mirza Abdul Khaliq
    [J]. JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2019, 18 (02)
12345